Find the slope of the line 3x – 2y = 6
(hint: find 2 points; then use the slope formula)

Put your equation in slope intercept form (y=mx+b). m represents slope.

3x - 2y = 6
-2y = -3x + 6
y = -3x/-2 + 6/-2
y = 3/2x -3

Slope = 3/2

Actually, I feel like the hint is either misleading or just not the way I'd go about it.

This form of writing a function for a graph is called standard form. It is often paired with slope-intercept form, which is expressed as y=mx+b. However, I'm getting a big off topic.
    The formula for standard form is Ax+By=C. To find the slope using standard form, you would use -A/B :) In this case, it would be -3/2; that's your slope! =D